The number 9552
9552 is a composite number with 20 divisors. Its prime factorisation is × 3 × 199. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 199, 398, 597, 796, 1194, 1592 … 9552.
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How to work it out
- 1
9552 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9552 is composite. Its prime factorisation is
- 3
The divisors add up to 24800; without 9552 itself that is 15248, so 9552 is abundant (15248 is more than 9552). Euler's totient φ(9552) = 3168 numbers up to 9552 share no factor with it.
- 4
The digits of 9552 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9552 = 2^{4} \times 3 \times 199 \]9552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 24800 |
| Euler totient φ(n) | 3168 |
| Square | 91240704 |
| Cube | 871531204608 |
| Square root | 97.734334 (= 4√597) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 29 |
| Scientific notation | 9.552 × |
9552 in other forms
| Form | Value |
|---|---|
| In words | nine thousand five hundred and fifty-two |
| Binary (base 2) | 10010101010000 |
| Octal (base 8) | 22520 |
| Hexadecimal (base 16) | 2550 |
| Base 3 | 111002210 |
| As time | 9552 seconds = 2 h 39 min 12 s |
Is 9552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9552 ÷ 2 = 4776) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9552 ÷ 3 = 3184) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9552 ÷ 4 = 2388) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9552 ÷ 6 = 1592) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (9552 ÷ 8 = 1194) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9552 ÷ 12 = 796) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9552 a prime number?
No. 9552 = × 3 × 199, so it is divisible by 2.
What are the factors of 9552?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 199, 398, 597, 796, 1194, 1592, 2388, 3184, 4776, 9552.
What is 9552 in binary?
10010101010000 (hexadecimal 2550, octal 22520).
What is the square root of 9552?
About 97.7343, exactly 4√597.
Is 9552 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 9552?
It is a composite number with 20 divisors.